PERT Mathematical Reasoning & Problem Solving 2

Question 1

If 3x - 7 = 2x + 5, what is the value of x?

Accepted Answer

12

Answer

Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

Question 2

A store marks up an item that costs $40 by 25%. What is the selling price?

Accepted Answer

$50

Answer

25% of $40 is $10, so the selling price is $40 + $10 = $50.

Question 3

What is the slope of the line passing through points (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope equals (11 - 3)/(6 - 2) = 8/4 = 2.

Question 4

Simplify: 2(3x + 4) - 5x.

Accepted Answer

x + 8

Answer

Distribute to get 6x + 8 - 5x, which simplifies to x + 8.

Question 5

If a recipe needs 2 cups of flour for 12 cookies, how much flour is needed for 30 cookies?

Accepted Answer

5 cups

Answer

The ratio is 2/12 = x/30, so x = 60/12 = 5 cups.

PERT Practice Test